Let A=\{1,2,3,4\}, and let f and g be randomly chosen (not necessarily distinct) functions from A to A. The probability that the range of f and the range of g are disjoint is \frac{m}{n}, where m and n are relatively prime positive integers. Find m.
Let A=\{1,2,3,4\}, and let f and g be randomly chosen (not necessarily distinct) functions from A to A. The probability that the range of f and the range of g are disjoint is \frac{m}{n}, where m and n are relatively prime positive integers. Find m.